Comparison principle and stability of discrete-time impulsive hybrid systems

Authors:
Bin Liu;David J. Hill
Affiliations:
Australian National University, Canberra, ACT, Australia;Australian National University, Canberra, ACT, Australia
Venue:
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Year:
2009

Citing 3
Cited 0

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Nonlinear Control Systems II

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Brief Lyapunov stability of a class of hybrid dynamic systems

Automatica (Journal of IFAC)

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Abstract

This paper studies discrete-time impulsive hybrid systems. The comparison principle and uniform stability are established for discrete-time impulsive hybrid systems and this kind of systems with time delay. Moreover, the attractive regions of these kinds of systems are estimated. As theoretical applications, the comparison principle is used to study the stability problem for linear interval discrete-time impulsive hybrid systems, a class of nonlinear uncertain discrete-time impulsive hybrid systems, and affine discrete-time impulsive hybrid systems with time delay. Some examples are given to illustrate the results.